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Finding the Fourth Proportional to 1,408.64, 2,112.44 and 484.02

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Solution

The fourth proportional to 1,408.64, 2,112.44 and 484.02 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.64 : 2,112.44 = 484.02 : x
  2. Step 2: Convert to fraction form
    1,408.64/2,112.44 = 484.02/x
  3. Step 3: Cross multiply
    1,408.64x = 2,112.44 × 484.02
  4. Step 4: Simplify right side
    1,408.64x = 1,022,463.21
  5. Step 5: Solve for x
    x = 1,022,463.21/1,408.64
  6. Step 6: Final answer
    x = 725.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.